Base | Representation |
---|---|
bin | 1111110111101… |
… | …0000000000000 |
3 | 11122020121011012 |
4 | 3331322000000 |
5 | 114014410000 |
6 | 10334340052 |
7 | 1435515323 |
oct | 375720000 |
9 | 148217135 |
10 | 66560000 |
11 | 34631571 |
12 | 1a35a628 |
13 | 10a35b20 |
14 | 8ba87ba |
15 | 5c9b735 |
hex | 3f7a000 |
66560000 has 140 divisors (see below), whose sum is σ = 179131722. Its totient is φ = 24576000.
The previous prime is 66559991. The next prime is 66560009. The reversal of 66560000 is 6566.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (66559991) and next prime (66560009).
It can be written as a sum of positive squares in 5 ways, for example, as 495616 + 66064384 = 704^2 + 8128^2 .
It is not an unprimeable number, because it can be changed into a prime (66560009) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5119994 + ... + 5120006.
Almost surely, 266560000 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 66560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89565861).
66560000 is an abundant number, since it is smaller than the sum of its proper divisors (112571722).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
66560000 is an frugal number, since it uses more digits than its factorization.
66560000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 59 (or 20 counting only the distinct ones).
The product of its (nonzero) digits is 1080, while the sum is 23.
The square root of 66560000 is about 8158.4312217485. The cubic root of 66560000 is about 405.2637615281.
Adding to 66560000 its reverse (6566), we get a palindrome (66566566).
The spelling of 66560000 in words is "sixty-six million, five hundred sixty thousand".
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